A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos. (5th July 2017)

• Record Type: Journal Article
• Authors: Shen, Shiyun; Ke, Meihua; Zhou, Ping
• Other Names: Goodrich Chris Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2017(2017)
• Publication Date: 2017-07-05
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2017/8434765
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : One 3D fractional-order chaotic system with only one locally asymptotically stable equilibrium is reported. To verify the chaoticity, the maximum Lyapunov exponent (MAXLE) with respect to the fractional-order and chaotic attractors are obtained by numerical calculation for this system. Furthermore, by linear scalar controller consisting of a single state variable, one control scheme for stabilization of the 3D fractional-order chaotic system is suggested. The numerical simulations show the feasibility of the control scheme.